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12. A new representation of Links: Butterflies

Author

Hilden, H. M., Montesinos, J. M., Tejada, D. M., and Toro, M. M.

Subjects
Mathematics - Algebraic Topology
Abstract

With the idea of an eventual classification of 3-bridge links,\ we define a very nice class of 3-balls (called butterflies) with faces identified by pairs, such that the identification space is $S^{3},$ and the image of a prefered set of edges is a link. Several examples are given. We prove that every link can be represented in this way (butterfly representation). We define the butterfly number of a link, and we show that the butterfly number and the bridge number of a link coincide. This is done by defining a move on the butterfly diagram. We give an example of two different butterflies with minimal butterfly number representing the knot $8_{20}.$ This raises the problem of finding a set of moves on a butterfly diagram connecting diagrams representing the same link. This is left as an open problem., Comment: 22 pages, 30 figures

Published
2012

16. The invasive margin of early-stage human colon tumors is infiltrated with neutrophils of an antitumoral phenotype

Author

Vadillo, E, primary, Mantilla, A, additional, Aguilar-Flores, C, additional, De León-Rodríguez, S G, additional, Vela-Patiño, S, additional, Badillo, J, additional, Taniguchi-Ponciano, K, additional, Marrero-Rodríguez, D, additional, Ramírez, L, additional, León-Vega, I I, additional, Fuentes-Castañeda, C, additional, Piña-Sánchez, P, additional, Prieto-Chávez, J L, additional, Pérez-Kondelkova, V, additional, Montesinos, J J, additional, Bonifaz, L, additional, Pelayo, R, additional, Mayani, H, additional, and Schnoor, M, additional

Published
2023
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36. Stratigraphy

Author

Perez Estaun, A., Mendez Bedia, I., Garcia Alcalde, J. L., Montesinos, J. R., Truyols Massoni, M., Garcia Lopez, S., Arbizu, M. A., Soto, F., Sanchez de Posada, L. C., Martinez Chacon, M. L., Mendez Fernandez, C., Menendez Alvarez, J. R., Truyols, J., Villa, E., Heredia, N., Rodriguez Fernandez, L. R., Wagner, R. H., Martinez Garcia, E., Dallmeyer, R. D., editor, Keppie, J. D., editor, Dallmeyer, R. David, editor, and Garcia, Enrique Martinez, editor

Published
1990
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40. High temperature gel permeation chromatograph (GPC-SEC) with integrated IR5 MCT detector for polyolefin analysis: a breakthrough in sensitivity and automation

Author

Monrabal, B., Sancho-Tello, J., Montesinos, J., Tarin, R., Ortin, A., del Hierro, P., and Bas, M.

Subjects
Gel permeation chromatography -- Usage, Polyolefins -- Properties -- Analysis, Chemical detectors -- Usage, Chemistry
Abstract

Introduction Gel permeation chromatography (GPC), also referred to as size exclusion chromatography (SEC), when applied to polyolefins analysis (Polyethylene, PE and Polypropylene, PP) has been considered a demanding task due [...]

Published
2012

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